Mathematical Models and Methods for Living Systems - Levico Terme, Italy 2014

The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods.Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases.

List of contents

Preface.- Cell-based, continuum and hybrid models of tissue dynamics.- The Diffusion Limit of Transport Equations in Biology.- Mathematical Models of the Interaction of Cells and Cell Aggregates with the Extracellular Matrix.- Mathematical modeling of morphogenesis in living materials.- Multiscale computational modelling and analysis of cancer invasion.

Summary

The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods.Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases.

Product details

• Authors: Pasqual Ciarletta, Pasquale Ciarletta, Thoma Hillen, Thomas Hillen, Hans Othmer, Hans et Othmer, Luigi Preziosi, Dumitru Trucu
• Assisted by: Mar Chaplain (Editor), Mark Chaplain (Editor), Luigi Preziosi (Editor), Andrea Pugliese (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2016
• EAN: 9783319426785
• ISBN: 978-3-31-942678-5
• No. of pages: 321
• Dimensions: 156 mm x 234 mm x 16 mm
• Weight: 528 g
• Illustrations: XI, 321 p. 111 illus., 78 illus. in color.
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; B, Medicine, Medical research, Mathematics and Statistics, Applications of Mathematics, Engineering mathematics, Applied mathematics, Biomedicine, general, Biomedical Research, Biomathematics, Mathematical and Computational Biology